What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?

A. In 4,231, the value of the digit 3 is 1/10 the value of the digit 3 in 3,421.

B. In 4,231, the value of the digit 3 is 10 times the value of the digit 3 in 3,421.

C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.

D. In 4,231, the value of the digit 3 is 100 times the value of the digit 3 in 3,421.

Respuesta :

Answer:

C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.

Step-by-step explanation:

In each case, from the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:

Our counter is i.

For 4,231

i = 0;

v(1) is the value of the digit 1

[tex]v(1) = 1*10^{0} = 1[/tex]

i = 1;

v(3) is the value of the digit 3

[tex]v(3) = 3*10^{1} = 30[/tex]

In 4,231, the value of the digit 3 is 30.

For 3,421

i = 0;

v(1) is the value of the digit 1

[tex]v(1) = 1*10^{0} = 1[/tex]

i = 1;

v(2) is the value of the digit2

[tex]v(1) = 2*10^{1} = 20[/tex]

i = 2;

v(4) is the value of the digit 4

[tex]v(4) = 4*10^{2} = 400[/tex]

i = 3;

v(3) is the value of the digit 3

[tex]v(4) = 3*10^{3} = 3000[/tex]

In 3,421, the value of the digit 3 is 3000.

So the correct answer is:

C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.